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Finding the Fourth Proportional to 5,196.94, 7,797.23 and 2,696.92

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Solution

The fourth proportional to 5,196.94, 7,797.23 and 2,696.92 is: 4,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.94 : 7,797.23 = 2,696.92 : x
  2. Step 2: Convert to fraction form
    5,196.94/7,797.23 = 2,696.92/x
  3. Step 3: Cross multiply
    5,196.94x = 7,797.23 × 2,696.92
  4. Step 4: Simplify right side
    5,196.94x = 21,028,505.53
  5. Step 5: Solve for x
    x = 21,028,505.53/5,196.94
  6. Step 6: Final answer
    x = 4,046.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.